Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 5305 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.564 | 0.7069 | 0.7979 | [X:[1.3571], M:[1.0714, 0.6429, 1.0, 0.7143, 1.2857, 0.9286, 0.8571], q:[0.6071, 0.3214], qb:[0.3929, 0.9643], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 12381/21952, c: 15517/21952, X1: 19/14, M1: 15/14, M2: 9/14, M3: 1, M4: 5/7, M5: 9/7, M6: 13/14, M7: 6/7, q1: 17/28, q2: 9/28, qb1: 11/28, qb2: 27/28, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | 0 | t^2.143 + 2*t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.643 + t^3.857 + t^4.071 + t^4.286 + 3*t^4.714 + t^4.929 + 4*t^5.143 + 2*t^5.357 + 2*t^5.571 + 3*t^5.786 + 2*t^6.214 + 3*t^6.429 + t^6.643 + 2*t^6.857 + t^7.071 + 5*t^7.286 + t^7.5 + 7*t^7.714 + 4*t^7.929 + t^8.143 + 4*t^8.357 + t^8.786 - t^4.286/y - (2*t^6.857)/y + (4*t^7.714)/y + t^7.929/y + (2*t^8.143)/y + (3*t^8.357)/y + (2*t^8.571)/y + (4*t^8.786)/y - t^4.286*y - 2*t^6.857*y + 4*t^7.714*y + t^7.929*y + 2*t^8.143*y + 3*t^8.357*y + 2*t^8.571*y + 4*t^8.786*y | t^2.143 + 2*t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.643 + t^3.857 + t^4.071 + t^4.286 + 3*t^4.714 + t^4.929 + 4*t^5.143 + 2*t^5.357 + 2*t^5.571 + 3*t^5.786 + 2*t^6.214 + 3*t^6.429 + t^6.643 + 2*t^6.857 + t^7.071 + 5*t^7.286 + t^7.5 + 7*t^7.714 + 4*t^7.929 + t^8.143 + 4*t^8.357 + t^8.786 - t^4.286/y - (2*t^6.857)/y + (4*t^7.714)/y + t^7.929/y + (2*t^8.143)/y + (3*t^8.357)/y + (2*t^8.571)/y + (4*t^8.786)/y - t^4.286*y - 2*t^6.857*y + 4*t^7.714*y + t^7.929*y + 2*t^8.143*y + 3*t^8.357*y + 2*t^8.571*y + 4*t^8.786*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 6826 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{8}$ | 0.5706 | 0.7179 | 0.7948 | [X:[1.3571], M:[1.0714, 0.6429, 1.0, 0.7143, 1.2857, 0.9286, 0.8571, 0.9286], q:[0.6071, 0.3214], qb:[0.3929, 0.9643], phi:[0.4286]] | t^2.143 + 2*t^2.571 + 2*t^2.786 + t^3. + t^3.643 + t^3.857 + t^4.071 + t^4.286 + 3*t^4.714 + 2*t^4.929 + 4*t^5.143 + 3*t^5.357 + 4*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 50103/87808, c: 63039/87808, X1: 19/14, M1: 15/14, M2: 9/14, M3: 1, M4: 5/7, M5: 9/7, M6: 13/14, M7: 6/7, M8: 13/14, q1: 17/28, q2: 9/28, qb1: 11/28, qb2: 27/28, phi1: 3/7} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 3601 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ | 0.5514 | 0.6854 | 0.8046 | [X:[1.3571], M:[1.0714, 0.6429, 1.0, 0.7143, 1.2857, 0.9286], q:[0.6071, 0.3214], qb:[0.3929, 0.9643], phi:[0.4286]] | t^2.143 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + t^3.857 + t^4.071 + t^4.286 + 2*t^4.714 + t^4.929 + 2*t^5.143 + t^5.357 + 2*t^5.571 + 2*t^5.786 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 12105/21952, c: 15045/21952, X1: 19/14, M1: 15/14, M2: 9/14, M3: 1, M4: 5/7, M5: 9/7, M6: 13/14, q1: 17/28, q2: 9/28, qb1: 11/28, qb2: 27/28, phi1: 3/7} |